Could a possible starting place for it all be the Planck base units and a doubling function (vis-a-vis cubic-close packing of equal spheres) be the mechanism for a quiet expansion and natural inflation?

The first 64 notations (of the 202) provide a space for a more pure mathematics and a very real physics (dark matter and dark energy). https://81018.com/chart/ is the simple progression of numbers. https://81018.com/structure/ is my naive discussion. Your comments are most welcomed. Thank you.